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A Skoda-type Integrability theorem for singular Monge-Ampère measures

Journal article
Authors Lucas Kaufmann
Published in Michigan Mathematical Journal
Volume 66
Pages 581-594
ISSN 0026-2285
Publication year 2017
Published at Department of Mathematical Sciences
Pages 581-594
Language en
Subject categories Algebra and geometry


Let φ be a plurisubharmonic function defined on an open subset of Cn. We give a sufficient condition for the local integrability of e -φ with respect to a Monge-Ampère measure with Höldercontinuous potential μ = (ddcu)n. This condition is expressed in terms of the Lelong numbers of φ and the Hölder exponent of u.

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